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Find a polynomial function that has the given zeros. (There are many correct answers.) 0,3

a) f(x) = x(x-3)
b) f(x) = x^2 - 3
c) f(x) = x^2 + 3x
d) f(x) = x^2 + 3

1 Answer

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Final answer:

A polynomial function is a polynomial with real or complex coefficients in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0. To find a polynomial function with given zeros, use the fact that if a number a is a zero of a polynomial function, then the factor (x - a) will be a factor of the polynomial function. For the zeros 0 and 3, one possible polynomial function is f(x) = x(x - 3).

Step-by-step explanation:

A polynomial function is defined as a function that can be written in form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where an an-1, ..., a1, and a0 are constants.

To find a polynomial function with given zeros, you can use the fact that if a number a is a zero of a polynomial function, The question asked concerns determining which statement best completes a chart comparing reasons for and against adding a new varsity sport to a high school's offerings. then the corresponding factor (x - a) will be a factor of the polynomial function.

For the zeros 0 and 3, one possible polynomial function is f(x) = x(x - 3). This function will be zero when either x = 0 or x = 3.

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